Abstract
The theory behind Nitsche’s method for approximating the obstacle problem of clamped Kirchhoff plates is reviewed. A priori estimates and residual-based a posteriori error estimators are presented for the related conforming stabilised finite element method and the latter are used for adaptive refinement in a numerical experiment.
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Acknowledgements
The authors are grateful for the financial support from the Portuguese Science Foundation (FCOMP-01-0124-FEDER-029408), Tekes (Decision number 3305/31/2015), the Finnish Academy of Science and Letters, and the Finnish Cultural Foundation.
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Gustafsson, T., Stenberg, R., Videman, J. (2019). Nitsche’s Method for the Obstacle Problem of Clamped Kirchhoff Plates. In: Radu, F., Kumar, K., Berre, I., Nordbotten, J., Pop, I. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2017. ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol 126. Springer, Cham. https://doi.org/10.1007/978-3-319-96415-7_36
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